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Finding the Fourth Proportional to 104.39, 156.68 and 89.12

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Solution

The fourth proportional to 104.39, 156.68 and 89.12 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.39 : 156.68 = 89.12 : x
  2. Step 2: Convert to fraction form
    104.39/156.68 = 89.12/x
  3. Step 3: Cross multiply
    104.39x = 156.68 × 89.12
  4. Step 4: Simplify right side
    104.39x = 13,963.22
  5. Step 5: Solve for x
    x = 13,963.22/104.39
  6. Step 6: Final answer
    x = 133.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.